Home / 1,023.19-1,533.80-329.39

Finding the Fourth Proportional to 1,023.19, 1,533.80 and 329.39

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Solution

The fourth proportional to 1,023.19, 1,533.80 and 329.39 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.19 : 1,533.80 = 329.39 : x
  2. Step 2: Convert to fraction form
    1,023.19/1,533.80 = 329.39/x
  3. Step 3: Cross multiply
    1,023.19x = 1,533.80 × 329.39
  4. Step 4: Simplify right side
    1,023.19x = 505,213.05
  5. Step 5: Solve for x
    x = 505,213.05/1,023.19
  6. Step 6: Final answer
    x = 493.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.